1 / 28

Heavy-quark Potential by AdS/CFT and Color SuperCond. in Dense QCD

Heavy-quark Potential by AdS/CFT and Color SuperCond. in Dense QCD. 侯德富　. 华中师范大学粒子物理研究所. 十三届中高能核物理大会，合肥. OUTLINES. Motivations Holographic study of heavy quarkonium Color Superconductivity in dense QCD Summary. p air dissociation line. (1.5-2) T c. T c. sQGP (Shuryak).

kamil
Download Presentation

Heavy-quark Potential by AdS/CFT and Color SuperCond. in Dense QCD

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Heavy-quark Potential by AdS/CFT and Color SuperCond. in Dense QCD 侯德富　 华中师范大学粒子物理研究所 十三届中高能核物理大会，合肥

  2. OUTLINES • Motivations • Holographic study of heavy quarkonium • Color Superconductivity in dense QCD • Summary

  3. pair dissociation line (1.5-2) Tc Tc sQGP(Shuryak) Color SuperConductor. Motivations

  4. Heavy quarkonium from AdS/CFT Heavy quark potential probes the confinement in hadronic matter and meson melting in plasma

  5. = conjecture AdS/CFT at finite temperature Classical Supergravity on AdS-BH×S5 Maldacena ‘97 Witten ‘98 4dim. Large-Nc strongly coupled SU(Nc) N=4 SYM at finite temperature (in the deconfinement phase).

  6. Potential from AdS/CFT

  7. Wilson-loop at finite temperature bounded by the loop C, when y goes to infinity, y->1 BH

  8. Minimizing the world sheet area (the Nambu-Goto action)

  9. q q q r r q y BH

  10. F(r,T) r r0

  11. Dissociate Temperature Hou, Ren JHEP01 (08)

  12. Strong couping expansion Semi-classical expansion Gravity dual of a Wilson loop , = the solution of the classical equation of motion; b[C] comes from the fluctuation of the string world sheet around -correction for Wilson loops. more significant than

  13. Wilson-loop at sub-leading order Straight line： Parallel lines：

  14. Partition function at finite T with fluct. Hou, Liu, Ren, PRD80,2009 Parallel lines： Straight line：

  15. Subleading order Results Chu, Hou, Ren,JHEP0908,(09) Erickson etc. NPB582, 2000

  16. Subleading order potential @ Finite T

  17. Color SuperConductivity Ground state of dense quark matter • Deconfined quarks( ) • Pauli principle(s=1/2) • Effective models( ) • One-gluon exchange( ) Cooper instability Color superconductivity B. Barrois, NPB 129, 390 (1977) D. Bailin and A. Love, Phys. Rep. 107,325 (1984) M. Alford et al., PLB 422, 247 (1998) R. Rapp et al., PRL 81, 53 (1998)

  18. QCD at large baryon density • No reliable lattice results at finite density • effective models of dense QCD • Additional complications due to charge neutrality and \beta equilibrium • Difficulties in determining stable ground states

  19. CJT action of dense QCD Order of g^2mu^4 Stationary points Powers of T D. Rischke Prog. Part. Nucl. Phys. 52 197 (2004)

  20. Gap equation Minimization of F Free energy density Energy density of normal phase

  21. Gauge field fluc. induce 1st order PT Ginnakis, Hou, Ren, Rischke, PRL 93 (04) ; PRD73 (06)

  22. Single flavor CSC CSC at moderate density: • Beta equilibrium • Non-zero strange quark mass • Charge neutrality Fermi momentum mismatch M. Alford et al., Rev. Mod. Phys. 80, 1455 (2008)

  23. Angular momentum mixing(I) • Spherical states • Non-spherical states A. Schmitt, PRD 71, 054016 (2005) Most stable state

  24. Nonlinear gap equation: Angular momentum mixing(II) • Helium_3 • QCD Pairing potential: Angular momentum mixing

  25. Ground states of single flavor CSC Angular momentum mixing lowered the free energy of the non-spherical state Transv. CSL is the most stable phase even with AMM mixing Schmitt, PRD 71, 054016 (2005) Feng, Hou , Ren, NPB 796, 500 (2008); NPB 813, 408 (2009); J Phys. G 36, 045005 (2009) A

  26. Single flavor in magnetic field Schmitt , wang, Rischke., PRL 91, (2003) • Typical magnetic field ～10^12G • Meissner effects in spin 1 CSC

  27. Feng, Hou, Ren, Wu, in pareparation

  28. Summary • AdS/CFT is a useful tool to study strongly coupled gauge field theory • Viscosity, /s. Thermodynamics. Jet quenching • Photon production, Friction ,Heavy quarkonium • Hardron spectrum (ADS/QCD) • Angular momentum mixing in non-spherical states is important • Non-spherical states could be the ground state in neutron starts

More Related